54719034240 has 512 divisors, whose sum is σ = 203575680000. Its totient is φ = 12378046464.

The previous prime is 54719034193. The next prime is 54719034269. The reversal of 54719034240 is 4243091745.

It is a Cunningham number, because it is equal to 233921²-1.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18244261 + ... + 18247259.

It is an arithmetic number, because the mean of its divisors is an integer number (397608750).

Almost surely, 2^54719034240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54719034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101787840000).

54719034240 is an abundant number, since it is smaller than the sum of its proper divisors (148856645760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54719034240 is a wasteful number, since it uses less digits than its factorization.

54719034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 54719034240 in words is "fifty-four billion, seven hundred nineteen million, thirty-four thousand, two hundred forty".